SIMPLIFIED METHOD OF CALCULATING A BEAM ON A TWO-PARAMETER ELASTIC FOUNDATION
Akhazhanov S. Bostanov B. Kaliyev A. Akhazhanov T. Mergenbekova A.
2023GEOMATE International Society
International Journal of GEOMATE
2023#25Issue 11133 - 40 pp.
When calculating beams lying on a solid elastic foundation, the simplest foundation model proposed by Winkler-Zimmerman is often used. This hypothesis has been repeatedly subjected to well-founded criticism, because the deformation of the base occurs only in the area of the load applied to it. In order to clarify the Winkler-Zimmerman hypothesis, many authors have proposed other models that allow mitigating the disadvantage of this model to varying degrees. The paper deals with the method of obtaining an analytical solution to the problem of beam bending on a two-parameter elastic foundation. A new version of the elastic foundation model is proposed. The account of the elastic foundation is produced by means of parameter of the flexural rigidity. The resolving differential equation of bending of beams resting on a two-parameter elastic foundation is obtained. An analytical solution for this equation is derived, and solutions for various boundary conditions of beams resting on a two-parameter elastic foundation are discussed. The accuracy of the proposed method is verified through examples, and they showed an excellent agreement with the Winkler and Vlasov models. Copyright
A Two-Parameter Elastic Foundation , Beam , Present Model , Vlasov Model , Winkler Model
Text of the article Перейти на текст статьи
Faculty of Mathematics and Information Technology, Karaganda Buketov University, Kazakhstan
Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Kazakhstan
Department of Informatics and Biostatistics, Karaganda Medical University, Kazakhstan
Faculty of Mathematics and Information Technology
Faculty of Mechanics and Mathematics
Department of Informatics and Biostatistics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026